메뉴 건너뛰기




Volumn 26, Issue 3-4, 1998, Pages 329-339

A nonperturbative form of the spectral action principle in noncommutative geometry

Author keywords

Bosonic action functional; Noncommutative geometry; Super connections

Indexed keywords


EID: 0032119335     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(97)00062-4     Document Type: Article
Times cited : (14)

References (29)
  • 2
    • 21844496057 scopus 로고
    • Noncommutative geometry and reality
    • [2] A. Connes, Noncommutative geometry and reality, J. Math. Phys. 36 (1995) 6194.
    • (1995) J. Math. Phys. , vol.36 , pp. 6194
    • Connes, A.1
  • 3
    • 0004339351 scopus 로고    scopus 로고
    • The Standard Model as a noncommutative geometry: The low energy regime
    • hep-th/9605001; to appear
    • [3] C.P. Martín, J.M. Gracia-Bondía and J.C. Várilly, The Standard Model as a noncommutative geometry: the low energy regime, hep-th/9605001; Phys. Rep., to appear.
    • Phys. Rep.
    • Martín, C.P.1    Gracia-Bondía, J.M.2    Várilly, J.C.3
  • 4
    • 0040855745 scopus 로고
    • Noncommutative geometry and physics
    • eds. B. Julia and J. Zinn-Justin North-Holland, Amsterdam
    • [4] A. Connes, Noncommutative geometry and physics, in: Proc. 1992 Les Houches Summer School, eds. B. Julia and J. Zinn-Justin (North-Holland, Amsterdam, 1995).
    • (1995) Proc. 1992 Les Houches Summer School
    • Connes, A.1
  • 5
    • 0001284725 scopus 로고
    • The dirac operator and gravitation
    • [5] D. Kastler, The Dirac operator and gravitation, Comm. Math. Phys. 166 (1995) 633.
    • (1995) Comm. Math. Phys. , vol.166 , pp. 633
    • Kastler, D.1
  • 6
    • 0001433377 scopus 로고
    • Gravity, noncommutative geometry and the Wodzicki residue
    • [6] W. Kalau and M. Walze, Gravity, noncommutative geometry and the Wodzicki residue, J. Geom. Phys. 16 (1995) 327.
    • (1995) J. Geom. Phys. , vol.16 , pp. 327
    • Kalau, W.1    Walze, M.2
  • 7
    • 0030359659 scopus 로고    scopus 로고
    • Gravity coupled with matter and the foundation of noncommutative geometry
    • [7] A. Connes, Gravity coupled with matter and the foundation of noncommutative geometry. Comm. Math. Phys. 182 (1996) 155.
    • (1996) Comm. Math. Phys. , vol.182 , pp. 155
    • Connes, A.1
  • 9
    • 4244084091 scopus 로고    scopus 로고
    • Universal formula for noncommutative geometry actions: Unification of gravity and the Standard Model
    • [9] A.H. Chamseddine and A. Connes, Universal formula for noncommutative geometry actions: Unification of gravity and the Standard Model, Phys. Rev. Lett. 77 (1996) 4868.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4868
    • Chamseddine, A.H.1    Connes, A.2
  • 10
    • 4244167731 scopus 로고    scopus 로고
    • General relativity in terms of Dirac eigenvalues
    • [10] G. Landi and C. Rovelli, General relativity in terms of Dirac eigenvalues, Phys. Rev. Lett. 78 (1997) 3051.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3051
    • Landi, G.1    Rovelli, C.2
  • 11
    • 85045610412 scopus 로고    scopus 로고
    • On summability of distributions and spectral geometry
    • funct-an/9702001, to appear
    • [11] R. Estrada, J.M. Gracia-Bondía and J.C. Várilly, On summability of distributions and spectral geometry, funct-an/9702001, in Comm. Math. Phys., to appear.
    • Comm. Math. Phys.
    • Estrada, R.1    Gracia-Bondía, J.M.2    Várilly, J.C.3
  • 12
    • 12044257877 scopus 로고
    • Can conformal Weyl gravity be considered a viable cosmological theory?
    • [12] D. Elizondo and G. Yepes, Can conformal Weyl gravity be considered a viable cosmological theory?, Astrophys. J. 428 (1994) 17.
    • (1994) Astrophys. J. , vol.428 , pp. 17
    • Elizondo, D.1    Yepes, G.2
  • 13
    • 0001289825 scopus 로고
    • Quantum gravity: An introduction to some recent results
    • [13] E. Alvarez, Quantum gravity: An introduction to some recent results, Rev. Modern Phys. 61 (1989) 561.
    • (1989) Rev. Modern Phys. , vol.61 , pp. 561
    • Alvarez, E.1
  • 18
    • 0001031144 scopus 로고    scopus 로고
    • Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories
    • [18] F. Lizzi, G. Mangano, G. Miele and G. Sparano, Fermion Hilbert space and fermion doubling in the noncommutative geometry approach to gauge theories, Phys. Rev. D 55 (1997) 6357.
    • (1997) Phys. Rev. D , vol.55 , pp. 6357
    • Lizzi, F.1    Mangano, G.2    Miele, G.3    Sparano, G.4
  • 19
    • 0010079819 scopus 로고
    • Strong Morita equivalence, spinors and symplectic spinors
    • [19] R. Plymen, Strong Morita equivalence, spinors and symplectic spinors, J. Operator Theory 16 (1986) 305.
    • (1986) J. Operator Theory , vol.16 , pp. 305
    • Plymen, R.1
  • 21
    • 0002326199 scopus 로고
    • Noncommutative residue I: Fundamentals
    • K-theory, Arithmetic and Geometry, ed. Yu.I. Manin, Springer, Berlin
    • [21] M. Wodzicki, Noncommutative residue I: Fundamentals, in: K-theory, Arithmetic and Geometry, ed. Yu.I. Manin, Lecture Notes in Mathematics, Vol. 1289 (Springer, Berlin, 1987).
    • (1987) Lecture Notes in Mathematics , vol.1289
    • Wodzicki, M.1
  • 22
    • 43949163688 scopus 로고
    • Connes' noncommutative geometry and the Standard Model
    • [22] J.C. Várilly and J.M. Gracia-Bondía, Connes' noncommutative geometry and the Standard Model, J. Geom. Phys. 12 (1993) 223.
    • (1993) J. Geom. Phys. , vol.12 , pp. 223
    • Várilly, J.C.1    Gracia-Bondía, J.M.2
  • 24
    • 0040185353 scopus 로고
    • Superconnections and the Chern character
    • [24] D. Quilien, Superconnections and the Chern character, Topology 24 (1985) 89.
    • (1985) Topology , vol.24 , pp. 89
    • Quilien, D.1
  • 26
    • 0025129833 scopus 로고
    • Internal supersymmetry and superconnections
    • [26] Y, Ne'eman and S. Sternberg, Internal supersymmetry and superconnections, Proc. Nat. Acad. Sci. USA 87 (1990) 7875.
    • (1990) Proc. Nat. Acad. Sci. USA , vol.87 , pp. 7875
    • Ne'eman, Y.1    Sternberg, S.2
  • 27
    • 21344488748 scopus 로고
    • Quantum electrodynamics in external fields from the spin representation
    • [27] J.M. Gracia-Bondía and J.C. Várilly, Quantum electrodynamics in external fields from the spin representation. J. Math. Phys. 35 (1994) 3340.
    • (1994) J. Math. Phys. , vol.35 , pp. 3340
    • Gracia-Bondía, J.M.1    Várilly, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.